Answer:
CLASS FREQUENCIES RELATIVE FREQUENCIES
A 60 0.5
B 12 0.1
C 48 0.4
TOTAL 120 1
Step-by-step explanation:
Given that;
the frequencies of there alternatives are;
Frequency A = 60
Frequency B = 12
Frequency C = 48
Total = 60 + 12 + 48 = 120
Now to determine our relative frequency, we divide each frequency by the total sum of the given frequencies;
Relative Frequency A = Frequency A / total = 60 / 120 = 0.5
Relative Frequency B = Frequency B / total = 12 / 120 = 0.1
Relative Frequency C = Frequency C / total = 48 / 120 = 0.4
therefore;
CLASS FREQUENCIES RELATIVE FREQUENCIES
A 60 0.5
B 12 0.1
C 48 0.4
TOTAL 120 1
69.75 x 0.05 = $3.49 discount
$69.75 - $3.49 = $66.26 discounted price with tax
66.26 x 0.18 = $11.93 tip
Discounted price with tax + tip
66.26 + 11.93 = 78.19
<span>x = angle 90 - x = measure of complement of x 180 - x = measure of supplement of x From the information given in the problem, we get this: 180 - x = 7 (90 - x) 180 - x = 630 - 7x -x + 7x = 630 - 180 6x = 450 x = 450/6 x = 75. Now we prove that x = 75° is the correct angle: x = 75° = measure of angle 90° - 75° = 15° = meaure of complement 180° - 75° = 105° = 7 (15°)</span>
Let D be Daniel's present age, then we can represent Kevin's present age as 3D because Kevin is 3 times as old as Daniel.
We can write an expression for Daniel's age 4 years ago as D-4 and Kevin's age 4 years ago as 3D-4.
We are told that 4 years ago Kevin was 5 times as old as Daniel. We can write this information as:
Now let us solve our equation to find Daniel's present age.
Daniel's present age is 8 years. Now we will multiply 8 by 3 to get Kevin's present age as Kevin is 3 times old as Daniel.
Therefore, Kevin is 24 years old now.
